Near-horizon Bondi-Metzner-Sachs symmetry, dimensional reduction, and black hole entropy

2019/10/03 by S. Carlip, Steven Carlip · 1 citation
Mathematics · Physics and Astronomy · #Astronomy #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Horizon #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Reduction (mathematics) #Symmetry (geometry) #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.101.046002

published as Phys. Rev. D 101, 046002 (2020) · 28 pages; longer, more detailed (and extended) version of arXiv:1702.04439

arxiv created 2019/10/03 · openalex created_date 2019/10/10 · openalex publication_date 2020/02/05 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05

Abstract

In an earlier short paper [Phys. Rev. Lett. 120, 101301 (2018)], I argued that the horizon-preserving diffeomorphisms of a generic black hole are enhanced to a larger three-dimensional Bondi-Metzner-Sachs symmetry, which is powerful enough to determine the Bekenstein-Hawking entropy. Here, I provide details and extensions of that argument, including a loosening of horizon boundary conditions and a more thorough treatment of dimensional reduction and meaning of a ``near-horizon symmetry.''

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